Solving delay differential equations using intervalwise partitioning by Runge-Kutta method

DOI10.1016/S0096-3003(99)00261-1zbMath1024.65056OpenAlexW4230202719MaRDI QIDQ1854989

Mohamed Bin Suleiman, Fudziah Bt. Ismail

Publication date: 28 January 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(99)00261-1

zbMATH Keywords

numerical resultsstiff systemssingly diagonally implicit Runge-Kutta methodintervalwise partitioningNewton divided difference interpolation

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (3)

Residue harmonic balance solution procedure to nonlinear delay differential systems ⋮ On the solutions of a system of linear retarded and advanced differential equations by the Bessel collocation approximation ⋮ SexticC¹-spline collocation methods for solving delay differential equations

Cites Work

• A new interpolation procedure for adapting Runge-Kutta methods to delay differential equations
• Partitioning ordinary differential equations using Runge-Kutta methods
• Interpolation for Runge–Kutta Methods
• Some Practical Runge-Kutta Formulas
• Type-Insensitive ODE Codes Based on Implicit A-Stable Formulas
• Derivation of Efficient, Continuous, Explicit Runge–Kutta Methods
• Embedded singly diagonally implicit runge-kutta methods (4,5) in (5,6). for the integration of stiff systems of odes

This page was built for publication: Solving delay differential equations using intervalwise partitioning by Runge-Kutta method